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Finding the Fourth Proportional to 424.30, 584.76 and 412.45

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Solution

The fourth proportional to 424.30, 584.76 and 412.45 is: 568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.30 : 584.76 = 412.45 : x
  2. Step 2: Convert to fraction form
    424.30/584.76 = 412.45/x
  3. Step 3: Cross multiply
    424.30x = 584.76 × 412.45
  4. Step 4: Simplify right side
    424.30x = 241,184.26
  5. Step 5: Solve for x
    x = 241,184.26/424.30
  6. Step 6: Final answer
    x = 568.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.